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Finding the Fourth Proportional to 595.52, 892.13 and 363.74

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Solution

The fourth proportional to 595.52, 892.13 and 363.74 is: 544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.52 : 892.13 = 363.74 : x
  2. Step 2: Convert to fraction form
    595.52/892.13 = 363.74/x
  3. Step 3: Cross multiply
    595.52x = 892.13 × 363.74
  4. Step 4: Simplify right side
    595.52x = 324,503.37
  5. Step 5: Solve for x
    x = 324,503.37/595.52
  6. Step 6: Final answer
    x = 544.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.